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Finding the Third Proportional to 310,944 and 682,800

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Solution

The third proportional to 310,944 and 682,800 is: 1,499,356.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,944 : 682,800 = 682,800 : x
  2. Step 2: Convert to fraction form
    310,944/682,800 = 682,800/x
  3. Step 3: Cross multiply
    310,944x = 682,800 × 682,800
  4. Step 4: Simplify right side
    310,944x = 466,215,840,000
  5. Step 5: Solve for x
    x = 466,215,840,000/310,944
  6. Step 6: Final answer
    x = 1,499,356.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.